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Finding the Fourth Proportional to 435,501.56, 652,111.86 and 285,269.24

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Solution

The fourth proportional to 435,501.56, 652,111.86 and 285,269.24 is: 427,156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,501.56 : 652,111.86 = 285,269.24 : x
  2. Step 2: Convert to fraction form
    435,501.56/652,111.86 = 285,269.24/x
  3. Step 3: Cross multiply
    435,501.56x = 652,111.86 × 285,269.24
  4. Step 4: Simplify right side
    435,501.56x = 186,027,454,697.19
  5. Step 5: Solve for x
    x = 186,027,454,697.19/435,501.56
  6. Step 6: Final answer
    x = 427,156.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.